Immigration Minister Scott Morrison has indicated he will no longer hold a weekly press conference to update journalists about the Government's border protection operations.

The Government has not held a briefing on Operation Sovereign Borders since December 20, after previously holding them on a weekly basis.

Mr Morrison, who will hold a briefing this morning, has told the ABC's 7.30 program that his weekly briefings will now be held on an "as-needs basis".

The briefings will be replaced by a written statement unless there is something significant to report.

"We will issue a statement on the numbers of arrivals and the transfers, and we will hold operational briefings - like we will [on Wednesday] - when we have something to say and when we have something to report," Mr Morrison said.

"We will do them on an as-needs basis to detail operational matters that are able to be released and we'll respond to questions there."

However, Mr Morrison declined to comment on reports of a protest on Christmas Island in which six people engaged in a hunger strike are thought to have sewn their mouths shut.

"We don't publicise it because publicisation (sic) of that sort of behaviour, if it occurs, is exactly what the perpetrators want.

"That's in the best interests of everybody - those who are the allegedly taking those actions and those who are seeking to manage those centres - it's in all of their best interests and not to engage in that game."

Mr Morrison also refused to say how many boats have been towed or turned back to Indonesia in the past month.

Moved families will be put in 'appropriate accommodation'

Why close the detention centres?

Reporter Melissa Clarke says it isn't all about budget savings.

"What the Government is hoping to achieve here is a greater deterrence," she told AM.

"They see that asylum seekers who come and who are going through the system and through their contacts, the deterrence of processing people on either Christmas Island, on Nauru or on Manus Island is a much greater deterrence.